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Finding the Third Proportional to 192,891 and 298,642.50

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Solution

The third proportional to 192,891 and 298,642.50 is: 462,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,891 : 298,642.50 = 298,642.50 : x
  2. Step 2: Convert to fraction form
    192,891/298,642.50 = 298,642.50/x
  3. Step 3: Cross multiply
    192,891x = 298,642.50 × 298,642.50
  4. Step 4: Simplify right side
    192,891x = 89,187,342,806.25
  5. Step 5: Solve for x
    x = 89,187,342,806.25/192,891
  6. Step 6: Final answer
    x = 462,371.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.